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have a question on power and quotient rules. How would I do the problem, (4y3/y-5)-3

have a question on power and quotient rules. How would I do the problem, (4y3/y-5)-3

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I have a question on power and quotient rules. How would I do the problem, (4y3/y-5)-3

 

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\large \left(\frac{4y^3}{y^{-5}}\right)^{-3}

apply exponent rule a^{-b}=\frac{1}{a^b}

\large =\frac{1}{\left(\frac{4y^3}{y^{-5}}\right)^3}

apply exponent rule \large \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}

\large =\frac{\left(4y^3\right)^3}{\left(y^{-5}\right)^3}

apply exponent rule \large \left(a\cdot \:b\right)^n=a^nb^n

\large =\frac{4^3\left(y^3\right)^3}{\left(y^{-5}\right)^3}

\large =\frac{64\left(y^3\right)^3}{\left(y^{-5}\right)^3}

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